To represent the given complex numbers in the Argand diagram, each number is treated as a point in the complex plane. Here are the details:

1. Given Complex Numbers:

   • $a = 2 + 2i$
   • $b = -2 + 2i$
   • $c = -2 - 2i$
   • $d = 2 - 2i$

2. Steps for Representation:

   • Plot each number using its real part as the x-coordinate and its imaginary part as the y-coordinate.
     • $a = (2, 2)$
     • $b = (-2, 2)$
     • $c = (-2, -2)$
     • $d = (2, -2)$

3. Structure in Argand Diagram:

   • These points form the vertices of a square centered at the origin because the real and imaginary parts are symmetric about the axes.

Would you like me to create a visual representation of this Argand diagram? Let me know! Here are 5 follow-up questions you might consider:

1. What is the significance of the Argand diagram in complex number analysis?
2. How can symmetry in complex numbers help in calculations?
3. What transformations can be applied to these points in the Argand plane?
4. How does one calculate the modulus and argument for each of these numbers?
5. Can we derive the center and radius of the circle circumscribing these points?

Tip: Always consider the symmetry of complex numbers for easy visualization and analysis!